On higher order geometry on anchored vector bundles
Some geometric objects of higher order concerning extensions, semi-sprays, connections and Lagrange metrics are constructed using an anchored vector bundle.
Lagrangians and hamiltonians on affine bundles and higher order geometry
The higher order bundles defined by an anchored bundle are constructed as a natural extension of the higher tangent spaces of a manifold. We prove that a hyperregular lagrangian (hyperregular affine hamiltonian) is a linearizable sub-lagrangian (affine sub-hamiltonian) on a suitable Legendre triple.
On projectable objects on fibred manifolds
The aim of this paper is to study the projectable and -projectable objects (tensors, derivations and linear connections) on the total space of a fibred manifold , where is a normalization of .
On algebra bundles and pseudo-morphisms.
On graded algebra bundles.
On the structure equations of the induced linear connections.
Geometrical objects on subbundles.
The derived Lie pseudoalgebra of an anchored module.
Projectable nonlinear connections.
A general background of higher order geometry and induced objects on subspaces.
On Hamiltonian submanifolds.
Lagrangians and higher order tangent spaces.
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